Abstract
Fuzzy is an intelligent control technique that is suitable for uncertainty and nonlinear systems. In this work, an advanced fuzzy logic control system is designed for an inverted pendulum, an unstable nonlinear system. First, the dynamic characteristics of the system are expressed through Takagi-Sugeno fuzzy model. Then, a parallel distributed compensation (PDC) controller is developed based on the definition of fuzzy sets. The purpose of this paper is to keep the stability of the pendulum angle. Besides, the linear matrix inequalities (LMI) is used for solving stability problem. Lastly, the efficiency and advantages of the proposed fuzzy controller are verified by simulation results.
D.-B. Pham, D.-T. Pham, Q.-T. Dao and V.-A. Nguyen—Contributed equally to this work.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kot, A., Nawrocka, A.: Modeling of human balance as an inverted pendulum. In: Proceedings of the: 15th International Carpathian Control Conference (ICCC), pp. 254–257 (2014)
Draz, M.U., Ali, M.S., Majeed, M., Ejaz, U., Izhar, U.: Segway electric vehicle. In: 2012 International Conference of Robotics and Artificial Intelligence, pp. 34–39 (2012)
Bakaráč, P., Klaučo, M., Fikar, M.: Comparison of inverted pendulum stabilization with PID, LQ, and MPC control. In: 2018 Cybernetics and Information (K and I), pp. 1–6 (2018)
Lee, H.W.: Performance the balance of circular inverted pendulum by using LQR controlled theory. In: 2017 IEEE International Conference on Consumer Electronics - Taiwan (ICCE-TW), pp. 415–416 (2017)
Korkmaz, D., Bal, C., Gökbulut, M.: Modeling of inverted pendulum on a cart by using Artificial Neural Networks. In: 2015 23nd Signal Processing and Communications Applications Conference (SIU), pp. 2642–2645 (2015)
Wang, H., Bai, Y.: Application of fuzzy control in the inverted pendulum. In: Proceedings of 2013 2nd International Conference on Measurement, Information and Control, pp. 1354–1357 (2013)
Li, H., Liu, Q.: Single inverted pendulum system design based on genetic algorithm and reduced fuzzy control. In: 2010 8th World Congress on Intelligence Control and Automation, pp. 4633–4638 (2010)
Wu, J., Jin, Z.: Research on the adaptive fuzzy sliding mode control method of inverted pendulum system. In: Proceedings of the 6th International Forum on Strategic Technology 2011, pp. 1261–1265 (2011)
Liu, H., Duan, F., Gao, Y., Yu, H., Xu, J.: Study on fuzzy control of inverted pendulum system in the Simulink environment. In: 2007 International Conference on Mechatronics and Automation, pp. 937–942 (2007)
Marzi, H.: Fuzzy control of an inverted pendulum using AC induction motor actuator. In: 2006 IEEE International Conference on Computational Intelligence for Measurement Systems and Applications, pp. 109–114 (2006)
Yu, L.H., Jian, F.: An inverted pendulum fuzzy controller design and simulation. In: 2014 International Symposium on Computer, Consumer and Control, pp. 557–559 (2014)
Nguyen, A.-T., Dequidt, A., Nguyen, V.-A., Vermeiren, L., Dambrine, M.: Fuzzy descriptor tracking control with guaranteed \(L\infty \) error-bound for robot manipulators. Trans. Inst. Meas. Control 43(6), 1404–1415 (2020)
Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. Int. J. Man-Mach. Stud. 7(1), 1–13 (1975)
Yaz, E.E.: Linear matrix inequalities in system and control theory. In: Proceedings of the IEEE, pp. 2473–2474 (1998)
Wang, H.O., Tanaka, K., Griffin, M.: Parallel distributed compensation of nonlinear systems by Takagi-Sugeno fuzzy model. In: Proceedings of 1995 IEEE International Conference on Fuzzy System, pp. 531–538 (1995)
Acknowledgement
This research is funded by Hanoi University of Science and Technology (HUST) under project number T2021-TT-002.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Pham, DB., Pham, DT., Dao, QT., Nguyen, VA. (2022). Takagi-Sugeno Fuzzy Control for Stabilizing Nonlinear Inverted Pendulum. In: Anh, N.L., Koh, SJ., Nguyen, T.D.L., Lloret, J., Nguyen, T.T. (eds) Intelligent Systems and Networks. Lecture Notes in Networks and Systems, vol 471. Springer, Singapore. https://doi.org/10.1007/978-981-19-3394-3_38
Download citation
DOI: https://doi.org/10.1007/978-981-19-3394-3_38
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-19-3393-6
Online ISBN: 978-981-19-3394-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)